Convert Seconds Of Arc to Milliradians

Enter the angle in seconds of arc below to get the value converted to milliradians.

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1 arcsec = 0.004848 mrad

How to Convert Seconds Of Arc to Milliradians

Protractors are often used to measure angle

To convert a second of arc measurement to a milliradian measurement, multiply the angle by the conversion ratio. One second of arc is equal to 0.004848 milliradians, so use this simple formula to convert:

milliradians = seconds of arc × 0.004848

The angle in milliradians is equal to the seconds of arc multiplied by 0.004848.

For example, here's how to convert 5 seconds of arc to milliradians using the formula above.
5" = (5 × 0.004848) = 0.024241 mrad

Seconds of arc and milliradians are both units used to measure angle. Keep reading to learn more about each unit of measure.

Seconds Of Arc

The second of arc is a unit of angle equal to 1/60th of one minute of arc or 1/3,600 of one degree.

A second of arc is sometimes also referred to as an arc second or arcsecond. Seconds of arc can be abbreviated as arcsec, and are also sometimes abbreviated as asec. For example, 1 second of arc can be written as 1 arcsec or 1 asec.

The second of arc is most commonly expressed using a double prime (″), though a double quote is often used as well. For example, 1 second of arc is most often written as 1″.

Milliradians

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad, for example 1 milliradian can be written as 1 mrad.

Second Of Arc Measurements and Equivalent Milliradian Conversions

Common second of arc values converted to the equivalent milliradian value
Seconds Of Arc Milliradians
1" 0.004848 mrad
2" 0.009696 mrad
3" 0.014544 mrad
4" 0.019393 mrad
5" 0.024241 mrad
6" 0.029089 mrad
7" 0.033937 mrad
8" 0.038785 mrad
9" 0.043633 mrad
10" 0.048481 mrad
11" 0.05333 mrad
12" 0.058178 mrad
13" 0.063026 mrad
14" 0.067874 mrad
15" 0.072722 mrad
16" 0.07757 mrad
17" 0.082418 mrad
18" 0.087266 mrad
19" 0.092115 mrad
20" 0.096963 mrad
21" 0.101811 mrad
22" 0.106659 mrad
23" 0.111507 mrad
24" 0.116355 mrad
25" 0.121203 mrad
26" 0.126052 mrad
27" 0.1309 mrad
28" 0.135748 mrad
29" 0.140596 mrad
30" 0.145444 mrad
31" 0.150292 mrad
32" 0.15514 mrad
33" 0.159989 mrad
34" 0.164837 mrad
35" 0.169685 mrad
36" 0.174533 mrad
37" 0.179381 mrad
38" 0.184229 mrad
39" 0.189077 mrad
40" 0.193925 mrad

More Second Of Arc Angle Conversions

Convert to Radians
1" is equal to 4.8481E-6 radians
Convert to Degrees
1" is equal to 0.000278 degrees
Convert to Minutes Of Arc
1" is equal to 0.016667 minutes of arc
Convert to Gradians
1" is equal to 0.000309 gradians
Convert to Revolutions
1" is equal to 7.716E-7 revolutions
Convert to Circles
1" is equal to 7.716E-7 circles
Convert to Mils (NATO)
1" is equal to 0.004938 mils (NATO)